SOLUTION: The volume of a right circular cone is 180 cubic meters. If the radius is 6 meters, what is the height of the cone?

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Question 65464This question is from textbook Essential Algebra
: The volume of a right circular cone is 180 cubic meters. If the radius is 6 meters, what is the height of the cone? This question is from textbook Essential Algebra

Answer by uma(370)   (Show Source): You can put this solution on YOUR website!
Let the height of the cone be 'h' m
Radius of the cone = 6 m
The volume of the cone = (1/3) Pi r^2 *h
==> (1/3)(Pi)* 36 * h = 180
==> Pi * 36*h = 180 x 3 [multiplying by 3 ]
==> Pi * 36h = 540
==> Pi * h = 540 / 36
==> Pi * h = 15
==> h = 15/Pi
==> h = 15/3.14 [as Pi = 3.14]
==> h = 4.78
Thus the height of the cone = 4.78 m
Good Luck!!!

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